Source labels openChecked July 26, 2026

Erdős Problem 889: General

Let $v_l(n) = \max_{k\geq l} v(n,k)$ . For every fixed $l$ , $v_l(n) \to \infty$ as $n \to \infty$

Mathematical statement

Let $v_l(n) = \max_{k\geq l} v(n,k)$ . For every fixed $l$ , $v_l(n) \to \infty$ as $n \to \infty$

[ErSe67] Erdős, P. and Selfridge, J. L., Some problems on the prime factors of consecutive integers. Illinois J. Math. (1967), 428--430.

Statement source: Erdős Problems statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

erdos_889.variants.general

Canonical source

Complete statement target, proof intentionally absentLean 4

theorem erdos_889.variants.general :    ∀ l, Tendsto (v_l l) atTop (𝓝 ⊤) := by  sorry

Statement source: Formal Conjectures
Lean version: v4.27.0
Placeholder: Present; no proof artifact
Source evidence: Pinned source index
Fidelity review: Community formulation

References

Pinned Formal Conjectures sourceformalization erdosproblems.com/889background